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566686664401 = 111324128126459
BaseRepresentation
bin10000011111100010010…
…10000100011011010001
32000011201100221021010211
420033301022010123101
533241033241230101
61112155433524121
755641011112424
oct10176112043321
92004640837124
10566686664401
111a936a937490
12919b2273641
1341590cc4200
141d5dbb8b9bb
15eb1a409c51
hex83f12846d1

566686664401 has 48 divisors (see below), whose sum is σ = 688209359040. Its totient is φ = 462274176000.

The previous prime is 566686664399. The next prime is 566686664419. The reversal of 566686664401 is 104466686665.

It is a happy number.

It is not a de Polignac number, because 566686664401 - 21 = 566686664399 is a prime.

It is a super-2 number, since 2×5666866644012 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (566686664701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21404310 + ... + 21430768.

It is an arithmetic number, because the mean of its divisors is an integer number (14337694980).

Almost surely, 2566686664401 is an apocalyptic number.

It is an amenable number.

566686664401 is a deficient number, since it is larger than the sum of its proper divisors (121522694639).

566686664401 is a wasteful number, since it uses less digits than its factorization.

566686664401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26818 (or 26805 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 58.

The spelling of 566686664401 in words is "five hundred sixty-six billion, six hundred eighty-six million, six hundred sixty-four thousand, four hundred one".

Divisors: 1 11 13 41 143 169 281 451 533 1859 3091 3653 5863 6929 11521 26459 40183 47489 76219 126731 149773 291049 343967 522379 1084819 1647503 1947049 3783637 4471571 7434979 11933009 14102647 21417539 49187281 81784769 96654727 155129117 183334411 304834139 1063201997 1256511451 2016678521 3353175529 3962843807 13821625961 43591281877 51516969491 566686664401